Question

Factorise y^2-13y+36=0​

Answer 1

SOLUTION:

y^2 -13y + 36 = 0

y^2 - (9 + 4)y + 36 = 0

y^2 - 9y - 4y + 36 = 0

y (y - 9) - 4 (y - 9) = 0

(y - 9) (y - 4) = 0

y = 9 and y = 4

Answer 2

Answer:

$\huge{\red{\boxed{\boxed{\green{\sf{y=4,9}}}}}}$

Step-by-step explanation:

$\huge{\red{\boxed{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}}$

☆Middle term spliting method:

${y}^{2} - 13y + 36 = 0 \\ = ) {y}^{2} - 9y - 4y + 36 = 0 \\ = )y(y - 9) - 4(y - 9) = 0 \\ = )(y - 4)(y - 9) = 0 \\ \\ = )y - 4 = 0 \\ = )y = 4 - - - - - 1st \: zeroes \\ \\=) y - 9 = 0 \\=) y = 9 - - - - - 2nd \: zeroes$

$\huge{\red{\boxed{\boxed{\green{\sf{y=4,9}}}}}}$

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